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5128632 = 23321923163
BaseRepresentation
bin10011100100000110111000
3100122120011100
4103210012320
52303104012
6301531400
761410165
oct23440670
910576140
105128632
112993243
121873b60
1310a74c2
1497706c
156b48dc
hex4e41b8

5128632 has 96 divisors (see below), whose sum is σ = 15350400. Its totient is φ = 1539648.

The previous prime is 5128603. The next prime is 5128633. The reversal of 5128632 is 2368215.

5128632 is a `hidden beast` number, since 5 + 1 + 28 + 632 = 666.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5128596 and 5128605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31383 + ... + 31545.

It is an arithmetic number, because the mean of its divisors is an integer number (159900).

Almost surely, 25128632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675200).

5128632 is an abundant number, since it is smaller than the sum of its proper divisors (10221768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5128632 is a wasteful number, since it uses less digits than its factorization.

5128632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5128632 is about 2264.6483170682. The cubic root of 5128632 is about 172.4515806132.

The spelling of 5128632 in words is "five million, one hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 163 171 184 207 228 276 326 342 414 437 456 489 552 652 684 828 874 978 1304 1311 1368 1467 1656 1748 1956 2622 2934 3097 3496 3749 3912 3933 5244 5868 6194 7498 7866 9291 10488 11247 11736 12388 14996 15732 18582 22494 24776 27873 29992 31464 33741 37164 44988 55746 67482 71231 74328 89976 111492 134964 142462 213693 222984 269928 284924 427386 569848 641079 854772 1282158 1709544 2564316 5128632